The effective quantum dynamics of LQC, mLQC-I, and mLQC-II were studied in detail recently in [1]} for a single scalar field with various potentials, including
the chaotic inflation, Starobinsky inflation, fractional monodromy inflation, non-minimal Higgs inflation, and inflation with an exponential potential, by using dynamical system analysis.
It was found that, while several features of LQC were shared by the mLQC-I and mLQC-II models, others belong to particular models. In particular,
in the pre-bounce phase, the qualitative dynamics of LQC and mLQC-II are quite similar, but are strikingly different from that of mLQC-I. In all the three models, the non-perturbative quantum gravitational effects always
result in a non-singular post-bounce phase, in which a short period of super-inflation always exists right after the bounce, and is succeeded by the conventional inflation. The latter is an attractor in the phase space for all the three models.
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